Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results)

DOI10.1007/S10468-018-9797-1zbMath1464.17019arXiv1609.03831OpenAlexW3101363438MaRDI QIDQ2272703

Rachel Taillefer, Nicole Snashall, Karin Erdmann, Edward Lee Green

Publication date: 20 September 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03831

zbMATH Keywords

Hopf algebratensor productfusion rulesDrinfeld doubleindecomposable modulestable Green ring

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation theory of lattices (06B15) Hopf algebras and their applications (16T05)

Related Items (3)

An asymptotic cell category for cyclic groups ⋮ A Soergel-like category for complex reflection groups of rank one ⋮ Some Hopf algebras related to sl2

Cites Work

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• Almost-split sequences and group rings
• A quiver quantum group
• Representation theory. A homological algebra point of view.
• Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras
• Representation theory of the Drinfeld doubles of a family of Hopf algebras.
• Endotrivial modules for finite group schemes
• The Green rings of the generalized Taft Hopf algebras
• Endotrivial modules for finite groups schemes II

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